Search a number
-
+
10140332042421 = 337563237140193
BaseRepresentation
bin1001001110001111101011…
…1000111010100010110101
31022220101222011201122011000
42103203322320322202311
52312114400000324141
633322223151433513
72064420611126310
oct223437270724265
938811864648130
1010140332042421
11325a544097589
121179320825899
135872c9756b09
14270b1a8b1977
15128b8eda25b6
hex938fae3a8b5

10140332042421 has 64 divisors (see below), whose sum is σ = 17206993520640. Its totient is φ = 5781599907840.

The previous prime is 10140332042411. The next prime is 10140332042507. The reversal of 10140332042421 is 12424023304101.

10140332042421 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 33 + 204 + 2 + 421 = 666.

It is not a de Polignac number, because 10140332042421 - 215 = 10140332009653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140332042411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252270901 + ... + 252311093.

It is an arithmetic number, because the mean of its divisors is an integer number (268859273760).

Almost surely, 210140332042421 is an apocalyptic number.

It is an amenable number.

10140332042421 is a deficient number, since it is larger than the sum of its proper divisors (7066661478219).

10140332042421 is a wasteful number, since it uses less digits than its factorization.

10140332042421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43143 (or 43137 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10140332042421 its reverse (12424023304101), we get a palindrome (22564355346522).

The spelling of 10140332042421 in words is "ten trillion, one hundred forty billion, three hundred thirty-two million, forty-two thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 563 1689 2371 3941 5067 7113 11823 15201 16597 21339 35469 40193 49791 64017 106407 120579 149373 281351 361737 448119 844053 1085211 1334873 2532159 4004619 7596477 9344111 12013857 22628659 28032333 36041571 67885977 84096999 95297603 158400613 203657931 252290997 285892809 475201839 610973793 667083221 857678427 1425605517 2001249663 2573035281 4276816551 6003748989 18011246967 53652550489 160957651467 375567853423 482872954401 1126703560269 1448618863203 3380110680807 10140332042421